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Tuesday, July 5, 2016

**Abstract:** This talk is a survey of classical and recent results on the asymptotic distribution of generalized prime numbers. The goal of Beurling's generalized prime number theory is to replace the ordinary prime numbers by a rather arbitrary non-decreasing sequence of positive real numbers (generalized primes), consider then the multiplicative semigroup generated by it (generalized integers), and then establish relations between asymptotic properties of the counting functions of the generalized primes and integers. We will discuss various conditions that ensure the validity of the prime number theorem in this context.

Thursday, July 7, 2016

Thursday, August 25, 2016

Thursday, September 1, 2016

Thursday, September 8, 2016

Tuesday, September 13, 2016

Thursday, September 15, 2016

Tuesday, September 20, 2016

Thursday, September 22, 2016

Tuesday, September 27, 2016

Thursday, September 29, 2016

Tuesday, October 4, 2016

Thursday, October 6, 2016

Tuesday, October 11, 2016

Thursday, October 13, 2016

Tuesday, October 18, 2016

Thursday, October 20, 2016

Tuesday, October 25, 2016

Thursday, October 27, 2016

Tuesday, November 1, 2016

Tuesday, November 8, 2016

Thursday, November 10, 2016

Tuesday, November 15, 2016

Thursday, November 17, 2016

Wednesday, November 30, 2016

Thursday, December 1, 2016

Tuesday, December 6, 2016